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A194168 Partial sums of A194167. 2
0, 0, 0, 1, 2, 4, 7, 11, 15, 19, 23, 28, 33, 39, 46, 54, 62, 70, 78, 86, 95, 104, 114, 125, 137, 149, 161, 173, 186, 199, 213, 228, 244, 260, 276, 292, 308, 325, 343, 361, 380, 400, 420, 440, 461, 482, 504, 526, 549, 573, 597, 621, 645, 670, 695, 721, 748 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..57.

MATHEMATICA

r=1/2+GoldenRatio;

a[n_]:=Floor[Sum[FractionalPart[k*r], {k, 1, n}]]

Table[a[n], {n, 1, 90}]  (* A194167 *)

s[n_]:=Sum[a[k], {k, 1, n}]

Table[s[n], {n, 1, 100}] (* A194168 *)

CROSSREFS

Cf. A194167.

Sequence in context: A062467 A250621 A003068 * A198759 A078617 A199085

Adjacent sequences:  A194165 A194166 A194167 * A194169 A194170 A194171

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 18 2011

STATUS

approved

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Last modified May 31 21:42 EDT 2020. Contains 334748 sequences. (Running on oeis4.)